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Finding the Third Proportional to 389,317.50 and 844,731

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Solution

The third proportional to 389,317.50 and 844,731 is: 1,832,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,317.50 : 844,731 = 844,731 : x
  2. Step 2: Convert to fraction form
    389,317.50/844,731 = 844,731/x
  3. Step 3: Cross multiply
    389,317.50x = 844,731 × 844,731
  4. Step 4: Simplify right side
    389,317.50x = 713,570,462,361
  5. Step 5: Solve for x
    x = 713,570,462,361/389,317.50
  6. Step 6: Final answer
    x = 1,832,875.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.